- In geometry,
runcination is an
operation that cuts a
regular polytope (or honeycomb)
simultaneously along the faces, edges, and vertices,
creating new...
- 4-polytope,
being a
runcination (a 3rd
order truncation, up to face-planing) of the
regular 5-cell.
There are 3
unique degrees of
runcinations of the 5-cell...
- 7-polytope with 3rd
order truncations (
runcination) of the
regular 7-orthoplex.
There are 16
unique runcinations of the 7-orthoplex with
permutations of...
-
uniform 4-polytope,
being a
runcination (a 3rd
order truncation) of the
regular tesseract.
There are 4
variations of
runcinations of the
tesseract including...
-
uniform 4-polytope,
being a
runcination (a 3rd
order truncation) of the
regular 24-cell.
There are 3
unique degrees of
runcinations of the 24-cell including...
- the 8-simplex
including permutations of truncation, cantellation, and
runcination. The
Cartesian coordinates of the
vertices of the
stericated 8-simplex...
-
uniform 4-polytope,
being a
runcination (a 3rd
order truncation) of the
regular 120-cell.
There are 4
degrees of
runcinations of the 120-cell including...
-
uniform 6-polytope with 3rd
order truncations (
runcination) of the
regular 6-cube.
There are 12
unique runcinations of the 6-cube with
permutations of truncations...
- 7-polytope with 3rd
order truncations (
runcination) of the
regular 7-simplex.
There are 8
unique runcinations of the 7-simplex with
permutations of truncations...
- is a
convex uniform 7-polytope,
being a
runcination of the
uniform 7-demicube.
There are 4
unique runcinations for the 7-demicube
including truncation...
